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Finding the Fourth Proportional to 632.44, 949.52 and 509.12

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Solution

The fourth proportional to 632.44, 949.52 and 509.12 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 949.52 = 509.12 : x
  2. Step 2: Convert to fraction form
    632.44/949.52 = 509.12/x
  3. Step 3: Cross multiply
    632.44x = 949.52 × 509.12
  4. Step 4: Simplify right side
    632.44x = 483,419.62
  5. Step 5: Solve for x
    x = 483,419.62/632.44
  6. Step 6: Final answer
    x = 764.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.